GCD of 310, 704, 207 Calculator

Given Input numbers are 310, 704, 207

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 310, 704, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 704, 207 is 1.

Therefore, GCD of numbers 310, 704, 207 is 1

Given Input Data is 310, 704, 207

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 207 is 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(310, 704) = 109120

GCD(310, 704) = ( 310 x 704 ) / 109120

GCD(310, 704) = 218240 / 109120

GCD(310, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

GCD of 310, 704, 207 is 1

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1. What is the GCD of 310, 704, 207?

GCD of 310, 704, 207 is 1

2. Where do I get the detailed procedure to find GCD of 310, 704, 207?

You can find a detailed procedure to find GCD of 310, 704, 207 on our page.

3. How to find GCD of 310, 704, 207 on a calculator?

You can find the GCD of 310, 704, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.